The linear equation on the plane is y=ax+b, which is a linear polynomial of x, and can be understood as linear once. There are only addition and number multiplication in the operation, and there are no other operations such as square sum and square root.

Linear algebra is a branch of mathematics, and its research objects are vectors, vector spaces (or linear spaces), linear transformations and linear equations with finite dimensions.

Academic status

Linear algebra has various important applications in mathematics, physics and technology, so it occupies a primary position in all branches of algebra. With the wide application of computers today, computer graphics, computer-aided design, cryptography, virtual reality and other technologies all take linear algebra as a part of their theoretical and algorithmic basis.

The connection between geometric concepts and algebraic methods embodied in linear algebra, axiomatic methods abstracted from concrete concepts, strict logical deduction and ingenious induction and synthesis are very useful for strengthening people's mathematical training and obtaining scientific intelligence. With the development of science, it is necessary to study not only the relationship between single variables, but also the relationship between multiple variables.

Various practical problems can be linearized in most cases, and with the development of computers, linearized problems can be calculated. Linear algebra is a powerful tool to solve these problems. The calculation method of linear algebra is also a very important content in computational mathematics.